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Finding the Third Proportional to 486,476,178.75 and 1,049,479,740

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Solution

The third proportional to 486,476,178.75 and 1,049,479,740 is: 2,264,052,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,476,178.75 : 1,049,479,740 = 1,049,479,740 : x
  2. Step 2: Convert to fraction form
    486,476,178.75/1,049,479,740 = 1,049,479,740/x
  3. Step 3: Cross multiply
    486,476,178.75x = 1,049,479,740 × 1,049,479,740
  4. Step 4: Simplify right side
    486,476,178.75x = 1,101,407,724,670,467,584
  5. Step 5: Solve for x
    x = 1,101,407,724,670,467,584/486,476,178.75
  6. Step 6: Final answer
    x = 2,264,052,738.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.